Beraldo asked for a transfer during the Club World Cup, making clear his intention to leave the Parc des Princes.
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PSG are willing to sell the Brazilian, 21, this summer as coach Luis Enrique doesn't see him as a regular starter for the new season.
L'Equipe says United have been alerted to Beraldo's availability and planning a move for the centre-half.
Beraldo is rated in the €25m class by PSG.